# Factors of 2019

Factors of 2019 are 1, 3, 673, and 2019

#### How to find factors of a number

 1.   Find factors of 2019 using Division Method 2.   Find factors of 2019 using Prime Factorization 3.   Find factors of 2019 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2019

• Divide 2019 by 1: 2019 ÷ 1 : Remainder = 0
• Divide 2019 by 3: 2019 ÷ 3 : Remainder = 0
• Divide 2019 by 673: 2019 ÷ 673 : Remainder = 0
• Divide 2019 by 2019: 2019 ÷ 2019 : Remainder = 0

Hence, Factors of 2019 are 1, 3, 673, and 2019

#### 2. Steps to find factors of 2019 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 2019 using the division method, follow these steps:

• Step 1. Start dividing 2019 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 2019, which is 3. Divide 2019 by 3 to obtain the quotient (673).
2019 ÷ 3 = 673
• Step 3. Repeat step 1 with the obtained quotient (673).
673 ÷ 673 = 1

So, the prime factorization of 2019 is, 2019 = 3 x 673.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2019 as shown below:

So, the prime factorization of 2019 is, 2019 = 3 x 673.

#### 3. Find factors of 2019 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 2019 would be the two numbers which, when multiplied, give 2019 as the result.

The following table represents the calculation of factors of 2019 in pairs:

Factor Pair Pair Factorization
1 and 2019 1 x 2019 = 2019
3 and 673 3 x 673 = 2019

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 2019. They are called negative pair factors.

Hence, the negative pairs of 2019 would be ( -1 , -2019 ) , ( -3 , -673 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every number is a factor of zero (0), since 2019 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 3, 673, 2019 are exact divisors of 2019.
• Factors of 2019 are 1, 3, 673, 2019. Each factor divides 2019 without leaving a remainder.

• What are the prime factors of 2019?

The factors of 2019 are 1, 3, 673, 2019.
Prime factors of 2019 are 3, 673.

• What two numbers make 2019?

Two numbers that make 2019 are 3 and 673.

• What is the greatest prime factors of 2019?

The greatest prime factor of 2019 is 673.

• What are factors of 2019?

Factors of 2019 are 1, 3, 673, 2019.

• How do you find factors of a negative number? ( eg. -2019 )?

Factors of -2019 are -1, -3, -673, -2019.

• What are five multiples of 2019?

First five multiples of 2019 are 4038, 6057, 8076, 10095, 12114.

• Write some multiples of 2019?

First five multiples of 2019 are 4038, 6057, 8076, 10095.

• Is 2019 a perfect square?

No 2019 is not a perfect square.

• What two numbers make 2019?

Two numbers that make 2019 are 3 and 673.

#### Examples of Factors

What is prime factorization of 2019?

Prime factorization of 2019 is 3 x 673 = 3 x 673.

Sammy is puzzled while calculating the prime factors of 2019. Can you help him find them?

Factors of 2019 are 1, 3, 673, 2019.
Prime factors of 2019 are 3, 673

Kevin has been asked to write 3 factor(s) of 2019. Can you predict the answer?

3 factor(s) of 2019 are 1, 3, 673.

Joey wants to write all the prime factors of 2019 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2019 are 3, 673.
So in exponential form it can be written as 3 x 673.

How many factors are there for 2019?

Factors of 2019 are 1, 3, 673, 2019.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2019? Help her in writing all the factors.

Positive factors are 1, 3, 673, 2019.
Negative factors are -1, -3, -673, -2019.

Can you help Rubel to find out the product of the even factors of 2019?

Factors of 2019 are 1, 3, 673, 2019.
Even factors of 2019 are 0.
Hence, product of even factors of 2019 is; 0 = 0.